Pith Number

pith:RPVPKVGX

pith:2017:RPVPKVGX7PTZTCF4253ECKBA5N

not attested not anchored not stored refs pending

Shannon sampling and Weak Weyl's Law on compact Riemannian manifolds

Isaac Z. Pesenson

arxiv:1703.03052 v3 · 2017-03-08 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPVPKVGX7PTZTCF4253ECKBA5N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:37:47.780084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8beaf554d7fbe79988bcd776412820eb62eb9496a533219deae550ec05352e1a

Aliases

arxiv: 1703.03052 · arxiv_version: 1703.03052v3 · doi: 10.48550/arxiv.1703.03052 · pith_short_12: RPVPKVGX7PTZ · pith_short_16: RPVPKVGX7PTZTCF4 · pith_short_8: RPVPKVGX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RPVPKVGX7PTZTCF4253ECKBA5N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8beaf554d7fbe79988bcd776412820eb62eb9496a533219deae550ec05352e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6300af2ab5c8b416ed6274c7f6b3552c34cead402828f815a03aafd95eac0a15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-08T22:02:12Z",
    "title_canon_sha256": "8d2eda60d624f8d6a3340f1c7a0fe758ed9b7f24f3ec0dcf2c085766e4338e74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03052",
    "kind": "arxiv",
    "version": 3
  }
}